Question

The frequency of the fundamental mode of transverse vibrations of a stretched wire is 256 Hz when the wire is 100 mm long. If the wire is shortened to 400 mm at the same tension, what is the fundamental frequency?

Name: the frequency of the fundamental node of transverse vibrations of a stretched wire 100mm long 256 hzwhen the wire is shortened to 400mm at the same tension what is the fundamental frequency 58845
Uploaded: 2022-11-08T08:23:25-08:00
Duration: 2 min 25 s
Channel: Adi S
Description: the frequency of the fundamental node of transverse vibrations of a stretched wire 100mm long 256 hzwhen the wire is shortened to 400mm at the same tension what is the fundamental frequency 58845

          The frequency of the fundamental mode of transverse vibrations of a stretched wire is 256 Hz when the wire is 100 mm long. If the wire is shortened to 400 mm at the same tension, what is the fundamental frequency?

Added by Jessica B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

11/08/2022

Step 1

The fundamental frequency \( f \) of a stretched wire is given by the formula: \[ f = \frac{1}{2L} \sqrt{\frac{T}{\mu}} \] where: - \( L \) is the length of the wire, - \( T \) is the tension in the wire, - \( \mu \) is the linear mass density of the wire. Show more…

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The frequency of the fundamental mode of transverse vibrations of a stretched wire is 256 Hz when the wire is 100 mm long. If the wire is shortened to 400 mm at the same tension, what is the fundamental frequency?